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arXiv · 1012.5320

Gauss Sums of the Cubic Character over $GF(2^m)$: an elementary derivation

Davide Schipani·Michele Elia
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Abstract

An elementary approach is shown which derives the value of the Gauss sum of a cubic character over a finite field $\mathbb F_{2^s}$ without using Davenport-Hasse's theorem (namely, if $s$ is odd the Gauss sum is -1, and if $s$ is even its value is $-(-2)^{s/2}$).

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Davide Schipani, Michele Elia. 2011-05-01. Gauss Sums of the Cubic Character over $GF(2^m)$: an elementary derivation. https://arxiv.org/abs/1012.5320

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